Finding the Fourth Proportional to 498.38, 684.01 and 456.68

Step by Step Solution

1. Step 1: Write the proportion equation
   498.38 : 684.01 = 456.68 : x
2. Step 2: Convert to fraction form
   498.38/684.01 = 456.68/x
3. Step 3: Cross multiply
   498.38x = 684.01 × 456.68
4. Step 4: Simplify right side
   498.38x = 312,373.69
5. Step 5: Solve for x
   x = 312,373.69/498.38
6. Step 6: Final answer
   x = 626.78